Influence of rock heterogeneity on the correlation between uniaxial compressive strength and Brazilian tensile strength

Abstract To offer guidance for using Brazilian tensile strength (BTS) to estimate UCS of heterogeneous rocks, this study uses sandstone (fine or coarse grain) and gneiss (0°, 45°, 90° inclined anisotropy) to investigate the influence of grain size or anisotropy on the correlations of UCS-BTS. Accord...

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Main Authors: Fanmeng M. Kong, Mingyi Han, Yuting T. Zhao, Haitao Lu, Shian Liu, Pengyu Luan, Baolong Zhuo, Gaofei Shi
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-84715-3
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author Fanmeng M. Kong
Mingyi Han
Yuting T. Zhao
Haitao Lu
Shian Liu
Pengyu Luan
Baolong Zhuo
Gaofei Shi
author_facet Fanmeng M. Kong
Mingyi Han
Yuting T. Zhao
Haitao Lu
Shian Liu
Pengyu Luan
Baolong Zhuo
Gaofei Shi
author_sort Fanmeng M. Kong
collection DOAJ
description Abstract To offer guidance for using Brazilian tensile strength (BTS) to estimate UCS of heterogeneous rocks, this study uses sandstone (fine or coarse grain) and gneiss (0°, 45°, 90° inclined anisotropy) to investigate the influence of grain size or anisotropy on the correlations of UCS-BTS. According to the regression analysis, there is no significant equation of UCS-BTS for rocks with vertical anisotropy. The grain size variation or multidirectional anisotropy can result in a decrease in the determination coefficient value of correlations. Then, coarse grain size or vertical anisotropy deteriorates the statistical performance of correlations between UCS and BTS, reflected by the Akaike Information Criterion and performance index. For rocks with fine grain size or 45° inclined anisotropy, the data points of estimated UCS are clustered uniformly around the exact estimation line. Finally, the accuracy of predicted UCS via BTS declines obviously following the varying grain size or different anisotropy orientations. Using empirical formulas with different grain sizes or anisotropy properties can generate significant errors in estimated UCS. To predict UCS, BTS should be extracted from rocks with single grain size magnitude or unidirectional anisotropy. Moreover, the Brazilian test parallel to the anisotropy cannot be used to derive the correlation of UCS-BTS.
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spelling doaj-art-a53a9422e7e8450eb9e3b210895d46032025-01-05T12:21:45ZengNature PortfolioScientific Reports2045-23222025-01-0115111710.1038/s41598-024-84715-3Influence of rock heterogeneity on the correlation between uniaxial compressive strength and Brazilian tensile strengthFanmeng M. Kong0Mingyi Han1Yuting T. Zhao2Haitao Lu3Shian Liu4Pengyu Luan5Baolong Zhuo6Gaofei Shi7Key Laboratory of Geological Safety of Coastal Urban Underground Space, MNRSchool of Engineering and Technology, China University of Geosciences (Beijing)Key Laboratory of Geological Safety of Coastal Urban Underground Space, MNRQingdao Geo-Engineering Surveying Institute (Qingdao Geological Exploration Development Bureau)Key Laboratory of Geological Safety of Coastal Urban Underground Space, MNRKey Laboratory of Geological Safety of Coastal Urban Underground Space, MNRQingdao Geological and Mineral Geotechnical Engineering Co, LtdKey Laboratory of Geological Safety of Coastal Urban Underground Space, MNRAbstract To offer guidance for using Brazilian tensile strength (BTS) to estimate UCS of heterogeneous rocks, this study uses sandstone (fine or coarse grain) and gneiss (0°, 45°, 90° inclined anisotropy) to investigate the influence of grain size or anisotropy on the correlations of UCS-BTS. According to the regression analysis, there is no significant equation of UCS-BTS for rocks with vertical anisotropy. The grain size variation or multidirectional anisotropy can result in a decrease in the determination coefficient value of correlations. Then, coarse grain size or vertical anisotropy deteriorates the statistical performance of correlations between UCS and BTS, reflected by the Akaike Information Criterion and performance index. For rocks with fine grain size or 45° inclined anisotropy, the data points of estimated UCS are clustered uniformly around the exact estimation line. Finally, the accuracy of predicted UCS via BTS declines obviously following the varying grain size or different anisotropy orientations. Using empirical formulas with different grain sizes or anisotropy properties can generate significant errors in estimated UCS. To predict UCS, BTS should be extracted from rocks with single grain size magnitude or unidirectional anisotropy. Moreover, the Brazilian test parallel to the anisotropy cannot be used to derive the correlation of UCS-BTS.https://doi.org/10.1038/s41598-024-84715-3Grain sizeAnisotropyCorrelationUniaxial compressive strengthBrazilian tensile strength
spellingShingle Fanmeng M. Kong
Mingyi Han
Yuting T. Zhao
Haitao Lu
Shian Liu
Pengyu Luan
Baolong Zhuo
Gaofei Shi
Influence of rock heterogeneity on the correlation between uniaxial compressive strength and Brazilian tensile strength
Scientific Reports
Grain size
Anisotropy
Correlation
Uniaxial compressive strength
Brazilian tensile strength
title Influence of rock heterogeneity on the correlation between uniaxial compressive strength and Brazilian tensile strength
title_full Influence of rock heterogeneity on the correlation between uniaxial compressive strength and Brazilian tensile strength
title_fullStr Influence of rock heterogeneity on the correlation between uniaxial compressive strength and Brazilian tensile strength
title_full_unstemmed Influence of rock heterogeneity on the correlation between uniaxial compressive strength and Brazilian tensile strength
title_short Influence of rock heterogeneity on the correlation between uniaxial compressive strength and Brazilian tensile strength
title_sort influence of rock heterogeneity on the correlation between uniaxial compressive strength and brazilian tensile strength
topic Grain size
Anisotropy
Correlation
Uniaxial compressive strength
Brazilian tensile strength
url https://doi.org/10.1038/s41598-024-84715-3
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